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Gusset plate connections under monotonic and cyclic loading

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Walbridge et al. 985<br />

Fig. 2. <strong>Gusset</strong> <strong>plate</strong> connection model for Rabinovitch <strong>and</strong><br />

Cheng (1993) specimens.<br />

Fig. 3. Linear elastic mesh refinement study: (a) mesh 1 – 206<br />

elements, (b) mesh 2 – 336 elements, (c) mesh 3 – 454 elements,<br />

<strong>and</strong> (d) mesh 4 – 596 elements.<br />

typical A490 bolt. This value was determined to be<br />

253 kN/mm.<br />

Results<br />

The effect of strain hardening on the load versus displacement<br />

behaviour in <strong>monotonic</strong> tension was an increase in the<br />

ultimate tensile capacity (Fig. 5). It was found, however, that<br />

the elasto-plastic material model resulted in a better prediction<br />

of the test specimen behaviour. The reasons that the<br />

models with strain hardening tended to overestimate the ultimate<br />

load are believed to be twofold. Firstly, bolt holes were<br />

not incorporated in the gusset <strong>plate</strong> model. The resulting excess<br />

material along the yield surface of the gusset <strong>plate</strong> (assuming<br />

a block shear failure mode) is believed to explain to<br />

a large extent the difference between the test results <strong>and</strong> the<br />

predictions of the gusset <strong>plate</strong> model with strain hardening.<br />

Another possible explanation is that no attempt was made to<br />

model local phenomena affecting the gusset <strong>plate</strong> behaviour<br />

near the bolt holes, such as the tearing observed in some of<br />

the tests (Rabinovitch <strong>and</strong> Cheng 1993). As the goal at this<br />

stage was to accurately predict the observed load versus displacement<br />

behaviour of the gusset <strong>plate</strong> with a model suit-<br />

Fig. 4. Finite element model of gusset <strong>plate</strong> with flexible framing<br />

members.<br />

Fig. 5. Effect of material model <strong>and</strong> boundary conditions on<br />

<strong>monotonic</strong> tension behaviour for Rabinovitch <strong>and</strong> Cheng (1993)<br />

specimen A2.<br />

able for application in large parametric studies such as the<br />

one presented herein, it was decided to retain the simplified<br />

idealization of the gusset <strong>plate</strong> along with the elasto-plastic<br />

material model for the remainder of the study.<br />

As shown in Fig. 5, the effect of incorporating realistic,<br />

flexible boundary conditions (as opposed to rigid boundary<br />

conditions) was a slight reduction in the stiffness of the gusset<br />

<strong>plate</strong> in the elastic range <strong>and</strong> a decrease in the ultimate<br />

tensile capacity. The use of an elastic fastener model did not<br />

significantly affect the predicted load versus displacement<br />

behaviour <strong>and</strong> had little effect on the ultimate load. The<br />

rigid bolt model <strong>and</strong> flexible boundary conditions were<br />

therefore used in subsequent analyses.<br />

Table 3 summarizes the predicted <strong>and</strong> actual tensile capacities<br />

for the test specimens of Rabinovitch <strong>and</strong> Cheng<br />

(1993), attained with finite element models that incorporated<br />

the elasto-plastic material model, the flexible boundary conditions,<br />

<strong>and</strong> the rigid bolt model. Good agreement between<br />

the test results <strong>and</strong> the predicted capacity can be seen in this<br />

table, with test-to-predicted ratios varying from 0.93 to 1.08.<br />

© 2005 NRC Canada

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